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科赫三角的几何学

Geometry of Koch's triangle.

作者信息

Klimek-Piotrowska Wieslawa, Holda Mateusz K, Koziej Mateusz, Salapa Kinga, Piatek Katarzyna, Holda Jakub

机构信息

Department of Anatomy, Jagiellonian University Medical College, Kopernika 12, 31-034 Cracow, Poland.

Department of Bioinformatics and Telemedicine, Jagiellonian University Medical College, Cracow, Poland.

出版信息

Europace. 2017 Mar 1;19(3):452-457. doi: 10.1093/europace/euw022.

Abstract

AIMS

The first aim of this study was to determine the size of the Koch's triangle. The second one was to investigate relation between its dimensions and other individual-specific and heart-specific parameters as well as to create universal formula to estimate triangle dimensions based on these parameters.

METHODS AND RESULTS

This study is a prospective one, presenting 120 randomly selected autopsied hearts dissected from adult humans (Caucasian) of both sexes (31.7% females), with mean age of 49.3 ± 17.4 years. The length of triangle sides and angles were measured and the triangle area was calculated as well. Sixteen additional heart parameters were measured in order to analyse potential relationship between the dimensions of Koch's triangle and other dimensions of the heart, using linear regression analysis. The mean (±SD) length of the anterior edge was approximated to 18.0 ± 3.8 mm, the posterior edge to 20.3 ± 4.3 mm, and the basal edge to 18.5 ± 4.0 mm. The average values of the apex angle, the Eustachian angle, and the septal leaflet angle were 58.0 ± 14.4°, 53.8 ± 10.6°, and 67.6 ± 14.4°, respectively. The mean value of the Koch's triangle area was 151.5 ± 55.8 mm2. The 95th percentile of triangle's height (the distance from the apex to the coronary sinus) was 21.8 mm.

CONCLUSION

Mean values and proportions of triangle's sides and angles were presented. Koch's triangle showed considerable individual variations in size. The dimensions of the triangle were strongly independent from individual-specific and heart-specific morphometric parameters; however, the maximum triangle's height can be estimated as 22 mm.

摘要

目的

本研究的首要目的是确定科赫三角的大小。第二个目的是研究其尺寸与其他个体特异性和心脏特异性参数之间的关系,并基于这些参数创建一个通用公式来估计三角尺寸。

方法与结果

本研究为前瞻性研究,呈现了120颗从成年男女(白种人)尸体上随机选取的心脏,其中女性占31.7%,平均年龄为49.3±17.4岁。测量了三角形各边的长度和角度,并计算了三角形面积。还测量了另外16个心脏参数,以便使用线性回归分析来分析科赫三角尺寸与心脏其他尺寸之间的潜在关系。前缘的平均(±标准差)长度约为18.0±3.8毫米,后缘为20.3±4.3毫米,底边为18.5±4.0毫米。顶角、欧氏角和间隔小叶角的平均值分别为58.0±14.4°、53.8±10.6°和67.6±14.4°。科赫三角面积的平均值为151.5±55.8平方毫米。三角形高度(从顶角到冠状窦的距离)的第95百分位数为21.8毫米。

结论

给出了三角形各边和角度的平均值及比例。科赫三角在大小上显示出相当大的个体差异。三角形的尺寸与个体特异性和心脏特异性形态学参数强烈独立;然而,三角形的最大高度可估计为22毫米。

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